A Novel Gauged Potential Formulation for 3-D Electromagnetic Field Analysis Including Both Inductive and Capacitive Effects
A Novel Gauged Potential Formulation for 3-D Electromagnetic Field Analysis Including Both Inductive and Capacitive Effects
复制标题
用于 3D 电磁场分析（包括电感效应和电容效应）的新型测量电势公式
DOI：
10.1109/tmag.2019.2899288
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发表时间：
2019
影响因子：
2.1
通讯作者：
Zuqi Tang
中科院分区：
文献类型：
--
作者：
Yanpu Zhao;Zuqi Tang
在本文中，一个新的潜在的制定低频（LF）的应用，同时考虑电感和电容效应，但不考虑波的传播。时域和频域配方。通过引入规范条件和重写电流连续性方程，使所得的全离散有限元矩阵对称。为了提高数值精度和计算效率，采用高阶混合棱边元和节点元逼近矢量和标量未知量，并采用高阶时间推进格式。几个数值算例验证和展示所提出的方法的准确性。通过同时考虑电感和电容效应，所提出的公式在用于LF电磁场计算中是稳定的，例如找到无线功率传输设备的谐振频率。
In this paper, a novel potential formulation for low-frequency (LF) applications taking into account both inductive and capacitive effects but without considering wave propagation is proposed. Both time-domain and frequency-domain formulations are presented. The resultant fully discrete finite-element matrix is made symmetric by incorporating a gauge condition and also rewriting the current continuity equation. To improve numerical accuracy and computational efficiency, high-order mixed edge elements and nodal elements are adopted to approximate the vector and scalar unknown variables together with high-order time-stepping schemes. Several numerical examples are solved to validate and showcase the accuracy of the proposed methods. The proposed formulations are stable in use for LF electromagnetic field computations by considering inductive and capacitive effects simultaneously, such as finding the resonant frequencies of wireless power transfer devices.